Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
12120q |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-2.81658535875E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 0 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5170620,4530927600] |
[a1,a2,a3,a4,a6] |
Generators |
[1290:3030:1] |
Generators of the group modulo torsion |
j |
-59718885747089141926096/110022865576171875 |
j-invariant |
L |
6.3895362378807 |
L(r)(E,1)/r! |
Ω |
0.2104030813517 |
Real period |
R |
0.032865880404907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240g1 96960c1 36360c1 60600d1 |
Quadratic twists by: -4 8 -3 5 |